Registo fonte: Richard T. W. Arthur, David Rabouin, Leibniz on the foundations of the differential calculus (Birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «Frontiers in the history of science».

$Richard T. W. Arthur, David Rabouin, Leibniz on the foundations of the differential calculus (Birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «Frontiers in the history of science».$

Richard T. W. Arthur, David Rabouin, Leibniz on the foundations of the differential calculus (Birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «Frontiers in the history of science».

As early as the first publications of his differential and integral calculus, Leibniz stated that the essential principle for studying a curve was to consider it as an “infinitangular polygon” or a “polygon of infinitely many sides.” This supposition is not entirely original in the history of mathem...

ver descrição completa

Na minha lista:

Detalhes bibliográficos
Autor principal:	Duchesneau, François
Formato:	Article ou chapitre numérique
Idioma:	Français
Publicado em:	2025
Acesso em linha:	Accès Université d'Orléans et IFPM Accès Université d'Orléans et IFPM

id	cairn-RHS_782_0508
record_format	cairn
spelling	cairn-RHS_782_0508RHSRevue d'histoire des sciences https://shs.cairn.info/revue-revue-dhistoire-des-sciences-2025-2-page-508?lang=fr https://doi.org/10.3917/rhs.782.0508 Richard T. W. Arthur, David Rabouin, Leibniz on the foundations of the differential calculus (Birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «Frontiers in the history of science». Duchesneau, François2025 fre Revue d'histoire des sciences \| 78 \| 2 \| 2025-11-13 \| p. 508-511 \| 0151-4105 RHS_78278 As early as the first publications of his differential and integral calculus, Leibniz stated that the essential principle for studying a curve was to consider it as an “infinitangular polygon” or a “polygon of infinitely many sides.” This supposition is not entirely original in the history of mathematical practice, but Leibniz claims that, in the context of his invention, it is the one that ultimately leads to a general concept of a curve. This contribution is presented in the context of the reception of Leibniz’s calculus by a circle of mathematicians around the philosopher Nicolas Malebranche at the turn of the 17th century. These mathematicians had already undertaken a renewal of their skills, and so they did not appropriate Leibniz’s invention in virgin territory. Based on manuscripts, we examine the epistemological variations undergone by the concept of the infinitangular polygon through the new practice of writing represented by the Leibnizian calculus, as well as the forms of intertextuality employed by the actors.Dès les premières publications de son calcul différentiel et intégral, Leibniz explique que le principe essentiel pour étudier une courbe est de la considérer comme un «polygone infinitangulaire» ou un «polygone d’une infinité de côtés». Cette supposition n’est pas nouvelle dans l’histoire de la pratique mathématique mais Leibniz soutient que, dans le contexte de son invention, elle est celle qui conduit à un concept général de courbe. Cette contribution se place dans le contexte de la réception du calcul infinitésimal de Leibniz chez un cercle de mathématiciens réunis autour du philosophe Nicolas Malebranche au tournant du xviie siècle. Ces mathématiciens ont déjà entrepris un renouveau de leurs connaissances et ce n’est donc pas en terres vierges qu’ils s’approprient de l’invention leibnizienne. Manuscrits à l’appui, nous examinons les variations épistémologiques que subit le concept de polygone infinitangulaire à travers la nouvelle pratique d’écriture que représente le calcul leibnizien mais en tenant compte des formes d’intertextualité mises en œuvre par les acteurs.Cairn free access
language	Français
format	Article ou chapitre numérique
building	0/Bibliothèque numérique/ 1/Bibliothèque numérique/Cairn/
description	As early as the first publications of his differential and integral calculus, Leibniz stated that the essential principle for studying a curve was to consider it as an “infinitangular polygon” or a “polygon of infinitely many sides.” This supposition is not entirely original in the history of mathematical practice, but Leibniz claims that, in the context of his invention, it is the one that ultimately leads to a general concept of a curve. This contribution is presented in the context of the reception of Leibniz’s calculus by a circle of mathematicians around the philosopher Nicolas Malebranche at the turn of the 17th century. These mathematicians had already undertaken a renewal of their skills, and so they did not appropriate Leibniz’s invention in virgin territory. Based on manuscripts, we examine the epistemological variations undergone by the concept of the infinitangular polygon through the new practice of writing represented by the Leibnizian calculus, as well as the forms of intertextuality employed by the actors.
author	Duchesneau, François
spellingShingle	Duchesneau, François Richard T. W. Arthur, David Rabouin, Leibniz on the foundations of the differential calculus (Birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «Frontiers in the history of science».
author_facet	Duchesneau, François
author_sort	Duchesneau, François
title	Richard T. W. Arthur, David Rabouin, Leibniz on the foundations of the differential calculus (Birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «Frontiers in the history of science».
title_short	Richard T. W. Arthur, David Rabouin, Leibniz on the foundations of the differential calculus (Birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «Frontiers in the history of science».
title_full	Richard T. W. Arthur, David Rabouin, Leibniz on the foundations of the differential calculus (Birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «Frontiers in the history of science».
title_fullStr	Richard T. W. Arthur, David Rabouin, Leibniz on the foundations of the differential calculus (Birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «Frontiers in the history of science».
title_full_unstemmed	Richard T. W. Arthur, David Rabouin, Leibniz on the foundations of the differential calculus (Birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «Frontiers in the history of science».
title_sort	richard t. w. arthur, david rabouin, leibniz on the foundations of the differential calculus (birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «frontiers in the history of science».
publishDate	2025
container_title
container_issue
url	https://ezproxy.univ-orleans.fr/login?url=https://shs.cairn.info/revue-revue-dhistoire-des-sciences-2025-2-page-508?lang=fr https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.3917/rhs.782.0508
_version_	1877246643639681024

Richard T. W. Arthur, David Rabouin, Leibniz on the foundations of the differential calculus (Birkhäuser, 2025), 168 \times 240 mm, xvi-288 p., bibliogr., index nominum, index rerum, table, coll. «Frontiers in the history of science».

Registos relacionados